Supernovae Constraints on Cosmological Density Parameter and Cosmic Topology

Abstract

We illustrate the constraints that a possible detection of a non-trivial spatial topology may place on the cosmological density parameters by considering the $\Lambda$CDM model Poincaré dodecahedal space (PDS) topology as a circles-in-the-sky detectable topology. To this end we reanalyze the type Ia supernovae constraints on the density parameter plane ${\Omega }_k$--${\Omega }_{\Lambda }$ and show that a circles-in-the-sky detectable PDS topology gives rise to important constraints on this parameters plane.

5 pages, 2 figs. To appear in the Proc. of 11th Marcel Grossmann Meeting on General Relativity. Latex2e, World Scientific proc. style files

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